![]() The move code has range 1.76 and is used as an index to To avoid confusion, keep in mind the difference between the sequenceĬourse, 1,2,3.This is called the move number which has the range Inc(n) //next entry in table with PinList do begin moves 1.76 translated to pin nrs in PinList const u : array of shortint = (1,-7,-1,7) //pin direction increments var m,n,d : byte //m:movepin1 d:direction beginįor m := 3 to 47 do for d := 0 to 3 do if movedirs and (1 shl d) 0 then begin P1, p2, p3 are board positions (1.49), meaning: p1 moves over p2 toĮach move has a number, 1.76 as there are 76Īt create time the pinlist table is generated from the So no move from these positions is possible.Ĭonst movedirs : array of byte = // 1: right The move directions per position are coded as bits 0.3 in aĪ "1" bit indicates that the move is allowed. One-dimensional array is used instead of a twoīytes are ordered as in a one-dimensional array, so if a ![]() = 1 if the position n holds a peg, board = 0 if position n is The peg placement is recorded in array board: How is this game coded? Have a look at the board and the numbering of the peg positions: If no addtional tricks are programmed to speedup the search. In 12 milliseconds and finds more solutions in additional fractionsĪ modern PC with 2,4GHz clock needs about 7.5 secs to solve the puzzle However, solitaire2.exe solves the solitaire puzzle The existence of search techniques, but never studied them.Īpproach is intuitive. Peg-Solitaire version 2 is ready now and has Recently I wrote another program, now in Delphi.Ĭamping in France (without PC) some ideas struck me how to speedup I remember that it took this giant machineĪbout 6 minutes to find the first solution. National supercomputer installed at the Academic Computer Center Was granted permission to run my Fortran program on the Cyber205, the My efforts to write a program that solves peg-solitaire go back to 1993.Ī hardware engineer, for the Control Data Corporation (CDC). This article will focus on the search option. Permutation filter removes similar solutions : Select 1 of 12 preset games, from easy to difficult Place balls at board to create starting position for search My version of Peg Solitaire has the following options: Peg that was jumped over is removed from the game.īelow for a reduced image of an initial- and a solved game. Over it's neigbour (horizontally or vertically) to an empty hole. The final, solved, game has one peg in the center positionĪfter 31 moves have striked the other pegs. Marketed version of these games often give ranks to players depending on how many pegs they have left on the board.Introduction Peg Solitaire is a single player puzzle. The complement problem, which is not attainable on all boards, is where one begins with a single hole vacant and ends the game with only one peg left in that initially vacant hole. ![]() In other variations, players may attempt to form some pattern of pegs at the end of the game. In variations, a player may start with some pattern on the board (several holes vacant) and then attempt to reduce to just one. The objectives vary but the most common is to start with a single hole vacant on the board and end up with a single counter (peg) at the end of the game. The French, however, did bring solitaire into popularity and the game retains its French name. This story, however, is only an inaccurate legend and it turns out that solitaire had already been around for quite some time. The game or, more accurately, puzzle of solitaire is oft reported to be invented by a French nobleman while imprisoned during the Revolution at the end of the eighteenth century. Elaborate maritime Solitaire board from the House on the Rock in Spring Green, Wisconsin, USA.
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